Robust fault detection filter using linear matrix inequalities’ approach for shaft crack diagnosis

2012 ◽  
Vol 19 (9) ◽  
pp. 1421-1440 ◽  
Author(s):  
Zbigniew Kulesza ◽  
Jerzy T Sawicki ◽  
Andrew L Gyekenyesi
Keyword(s):  
Fault Detection ◽  
Linear Matrix Inequalities ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Fault Detection Filter ◽  
Robust Fault Detection ◽  
Detection Filter

Robust Fault Detection for Network-Based System with Time-Varying Bounded Delay

2012 ◽  
Vol 503-504 ◽  
pp. 1389-1392
Author(s):  
Li Min Chen
Keyword(s):  
Fault Detection ◽  
Flight Control ◽  
Upper Bound ◽  
Filter Design ◽  
Estimation Error ◽  
Linear Matrix ◽  
Fault Detection Filter ◽  
Detection Approach ◽  
Robust Fault Detection ◽  
Detection Filter

A robust fault detection approach for network-based system is discussed in this paper. The fault detection problem is converted into fault detection filter design. The network-induced delay is assumed to have both the upper bound and the lower bound, which is more general compared with only considering the upper bound. The Lyapunov-Krasovskii functional and the linear matrix inequality (LMI)-based procedure are adopted to design the filter. And the filter can guarantee that the estimation error satisfies the H∞ constraint. Fault detection filter is designed for a flight control system and the effectiveness is verified by the simulation results.

Robust Fault Detection for Singular Stochastic Systems

2011 ◽  
Vol 128-129 ◽  
pp. 276-279 ◽  
Author(s):  
Ai Qing Zhang
Keyword(s):  
Fault Detection ◽  
Stochastic Systems ◽  
Detection System ◽  
Linear Matrix ◽  
Fault Detection Filter ◽  
Robust Fault Detection ◽  
Lyapunov Function Method ◽  
Singular Stochastic Systems ◽  
Residual Generator ◽  
Detection Filter

-This paper deals with the problem of fault detection filter (FDF) design for singular stochastic systems . By using an observer-based FDF as a residual generator,the robust fault detection is formulated as a filtering problem. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a FDF such that, the filter residual system is sensitive to the fault but robust to the exogenous disturbance.Sufficient conditions are proposed to guarantee the stochastically mean-square stablility with an performance for the faulty detection system. The existence of a FDF for the system under consideration is achieved in terms of LMIS . Moreover, the expressions of desired fault detection filter are given.

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